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Electric Force Calculator

Calculate electric force instantly with our free online Electric Force Calculator. Get step-by-step solutions using Coulomb’s law.

Ever wondered how two charges pull or push each other? That’s where our electric force calculator steps in. We built this tool so you can find the force between charges in seconds. No need to struggle with long math. Just enter your values and get the answer.

What Is Electric Force?

Electric force is the push or pull between two charges. It follows Coulomb’s law, which tells us the strength and direction of the force. If the charges have the same sign, they repel. If they have opposite signs, they attract.

The formula looks simple:

F = k × |q₁ × q₂| / r²

Here,

  • F = electric force (in Newtons)
  • k = Coulomb constant (9 × 10⁹ N·m²/C²)
  • q₁, q₂ = charges in Coulombs
  • r = distance between charges (in meters)

If the charges are in a medium other than air or vacuum, we divide by the relative permittivity (εr).

How to Use the Electric Force Calculator

Using this tool is as easy as pie.

  1. Enter the values of the two charges.
  2. Choose the units (microcoulomb, millicoulomb, or Coulomb).
  3. Type in the distance between them.
  4. Pick the medium (vacuum, water, glass, or custom).
  5. Hit the calculate button.

In less than a blink, you’ll see:

  • The exact force in Newtons.
  • If it’s an attractive or repulsive force.
  • Step-by-step solution with all unit conversions.

Electric Force Calculator for 3 or 4 Charges

Our tool isn’t stuck with just two charges. You can also explore 3 charges or even 4 charges. In those cases, Coulomb’s law still applies. You just add the force vectors one by one. The calculator shows you how each pair of charges interacts and what the net force looks like.

Example Solution

Let’s take q₁ = 2 μC, q₂ = -3 μC, r = 0.05 m.

Step 1: Convert to SI units.

q₁ = 2 × 10⁻⁶ C, q₂ = -3 × 10⁻⁶ C.

Step 2: Apply Coulomb’s law.

F = 9 × 10⁹ × |(2 × 10⁻⁶)(-3 × 10⁻⁶)| / (0.05)²

Step 3: Calculate.

F ≈ 21.6 N.

Since the charges are opposite, the force is attractive.

Why This Calculator Helps

Math can be tricky when you’re in a rush. Our calculator saves time, reduces error, and makes learning easy. Whether you’re a student, teacher, or just curious, this tool gives clear answers with full steps.

Final Verdict

The electric force calculator is more than a tool. It’s a learning buddy. It shows the formula, explains the steps, and delivers the solution in one go. Whether you’re working with two, three, or four charges, this calculator has your back.

FAQs

What is the formula for force between two charges?

It’s F = k × |q₁ × q₂| / r².

Can I calculate force with three charges?

Yes. Just add the force vectors from each pair.

Does the medium matter?

Yes. In water or glass, the force reduces because of higher permittivity.

What units should I use?

The calculator converts microcoulombs, millicoulombs, or Coulombs into SI units for you.

Is this tool free?

Yes. You can use it anytime, anywhere.